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Andreyy89
2 years ago
7

A triangle has one angle that measures 11 degrees, one angle that measures 47 degrees, and one angle that measures 122 degrees.

What kind of triangle is it?
Mathematics
1 answer:
agasfer [191]2 years ago
8 0

Answer:

  obtuse

Step-by-step explanation:

The largest angle is more than 90°, so the triangle is called an "obtuse" triangle.

Here are the classifications based on the measure of the largest angle:

  < 90° -- acute triangle

  = 90° -- right triangle

  > 90° -- obtuse triangle . . . . . like the one in this problem statement

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Given rational expression is:


\frac{(4x^2-32x+48)}{(3x^2-17x-6)}

Now we can simplify this by factoring as shown below:


=\frac{4(x^2-8x+12)}{(3x^2-17x-6)}


=\frac{4(x-2)\left(x-6\right)}{(3x^2-18x+1x-6)}


=\frac{4(x-2)\left(x-6\right)}{3x\left(x-6\right)+1\left(x-6\right)}


=\frac{4(x-2)\left(x-6\right)}{(3x+1)\left(x-6\right)}


=\frac{4(x-2)}{(3x+1)}



Hence final answer is \frac{4(x-2)}{(3x+1)}




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